Higher genus Gromov-Witten theory of \([\mathbb{C}^{n} / \mathbb{Z}_{n}]\). I: Holomorphic anomaly equations

DOI10.1016/J.AIM.2024.109634MaRDI QIDQ6492257

Hsian-Hua Tseng, Deniz Genlik

Publication date: 24 April 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

Gromov-Witten invariantsholomorphic anomaly equationsGivental-Teleman classification

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Cites Work

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• The structure of 2D semi-simple field theories
• Special polynomial rings, quasi modular forms and duality of topological strings
• Holomorphic anomalies in topological field theories
• Computing genus-zero twisted Gromov-Witten invariants
• Orbifold quantum Riemann-Roch, Lefschetz and Serre
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• Stable quotients and the holomorphic anomaly equation
• Holomorphic anomaly equations and the Igusa cusp form conjecture
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Holomorphic anomaly equations for the formal quintic
• Gromov-Witten theory of Deligne-Mumford stacks
• Some Properties of Hypergeometric Series Associated with Mirror Symmetry
• COHOMOLOGICAL FIELD THEORY CALCULATIONS
• HIGHER GENUS GROMOV–WITTEN THEORY OF AND ASSOCIATED TO LOCAL CURVES
• Crepant resolution and the holomorphic anomaly equation for [C3/Z3]
• Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures

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